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Finding the Fourth Proportional to 833.09, 1,249.49 and 285.20

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Solution

The fourth proportional to 833.09, 1,249.49 and 285.20 is: 427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.09 : 1,249.49 = 285.20 : x
  2. Step 2: Convert to fraction form
    833.09/1,249.49 = 285.20/x
  3. Step 3: Cross multiply
    833.09x = 1,249.49 × 285.20
  4. Step 4: Simplify right side
    833.09x = 356,349.01
  5. Step 5: Solve for x
    x = 356,349.01/833.09
  6. Step 6: Final answer
    x = 427.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.